380293056 has 448 divisors, whose sum is σ = 1399641600. Its totient is φ = 100776960.

The previous prime is 380293051. The next prime is 380293061. The reversal of 380293056 is 650392083.

It is an interprime number because it is at equal distance from previous prime (380293051) and next prime (380293061).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 380293056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380293051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20015415 + ... + 20015433.

It is an arithmetic number, because the mean of its divisors is an integer number (3124200).

Almost surely, 2^380293056 is an apocalyptic number.

380293056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380293056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699820800).

380293056 is an abundant number, since it is smaller than the sum of its proper divisors (1019348544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

380293056 is a wasteful number, since it uses less digits than its factorization.

380293056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 380293056 is about 19501.1039687501. The cubic root of 380293056 is about 724.5017939078.

The spelling of 380293056 in words is "three hundred eighty million, two hundred ninety-three thousand, fifty-six".